X^2+2x+1+y^2-2y+1=18

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Solution for X^2+2x+1+y^2-2y+1=18 equation: 


Simplifying
X2 + 2x + 1 + y2 + -2y + 1 = 18

Reorder the terms:
1 + 1 + X2 + 2x + -2y + y2 = 18

Combine like terms: 1 + 1 = 2
2 + X2 + 2x + -2y + y2 = 18

Solving
2 + X2 + 2x + -2y + y2 = 18

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + X2 + 2x + -2y + -2 + y2 = 18 + -2

Reorder the terms:
2 + -2 + X2 + 2x + -2y + y2 = 18 + -2

Combine like terms: 2 + -2 = 0
0 + X2 + 2x + -2y + y2 = 18 + -2
X2 + 2x + -2y + y2 = 18 + -2

Combine like terms: 18 + -2 = 16
X2 + 2x + -2y + y2 = 16

Add '-2x' to each side of the equation.
X2 + 2x + -2y + -2x + y2 = 16 + -2x

Reorder the terms:
X2 + 2x + -2x + -2y + y2 = 16 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -2y + y2 = 16 + -2x
X2 + -2y + y2 = 16 + -2x

Add '2y' to each side of the equation.
X2 + -2y + 2y + y2 = 16 + -2x + 2y

Combine like terms: -2y + 2y = 0
X2 + 0 + y2 = 16 + -2x + 2y
X2 + y2 = 16 + -2x + 2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 16 + -2x + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 16 + -2x + 2y + -1y2
X2 = 16 + -2x + 2y + -1y2

Simplifying
X2 = 16 + -2x + 2y + -1y2

Reorder the terms:
-16 + X2 + 2x + -2y + y2 = 16 + -2x + 2y + -1y2 + -16 + 2x + -2y + y2

Reorder the terms:
-16 + X2 + 2x + -2y + y2 = 16 + -16 + -2x + 2x + 2y + -2y + -1y2 + y2

Combine like terms: 16 + -16 = 0
-16 + X2 + 2x + -2y + y2 = 0 + -2x + 2x + 2y + -2y + -1y2 + y2
-16 + X2 + 2x + -2y + y2 = -2x + 2x + 2y + -2y + -1y2 + y2

Combine like terms: -2x + 2x = 0
-16 + X2 + 2x + -2y + y2 = 0 + 2y + -2y + -1y2 + y2
-16 + X2 + 2x + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
-16 + X2 + 2x + -2y + y2 = 0 + -1y2 + y2
-16 + X2 + 2x + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-16 + X2 + 2x + -2y + y2 = 0

The solution to this equation could not be determined.

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